Stadium Calculator

Choose a Calculation:

r =	m
a =	m

Units*:
Significant Figures:


Answer: r = m a = m A = m² P = m

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Stadium Shape

Stadium Geometric Shape with Radius and Side a
r = radius
a = length side a
A = area
P = perimeter
π = pi = 3.14159

Stadium Calculator

Use this calculator to calculate physical values related to the shape of a stadium. A geometric stadium shape is a circle of radius r that has been cut in half through the center and the 2 ends are then separated by a rectangle of height r and width (or side length) of a. Calculations are essentially a combination of calculations for a combined circle and rectangle.

Stadium Formulas in terms of radius r and side a: (π = Pi)

Area of a stadium:

A = πr² + 2 * r * a

Perimeter of a stadium:

P = 2 * (πr + a)

Stadium Calculations:

Use the following additional formulas along with the formulas above.

Given the radius and side of a stadium calculate the area and perimeter
Given r, a find A, P
- use the formulas above
Given the radius and area of a stadium calculate the side and perimeter
Given r, A find a, P
- a = (A - (πr²)) / (2 * r)
Given the radius and perimeter of a stadium calculate the side and area
Given r, P find a, A
- a = (P / 2) - (πr)
Given the side and perimeter of a stadium calculate the radius and area
Given a, P find r, A
- r = (P / 2π) - (a / π)